Nearby Lagrangian conjecture
In mathematics, more specifically symplectic topology, the nearby Lagrangian conjecture, is an open mathematical problem often attributed to Vladimir Arnold. It states that every closed exact Lagrangian submanifold of a cotangent bundle T∗M (with symplectic structure) is Hamiltonian isotopic to the zero section.[1][2][3]
References
[edit]- ^ Cieliebak, K., Eliashberg, Y. "New Applications of Symplectic Topology in Several Complex Variables". J Geom Anal 31, 3252–3271 (2021). https://doi.org/10.1007/s12220-020-00395-1
- ^ Ekholm, Tobias, Thomas Kragh, and Ivan Smith. "Lagrangian exotic spheres." Journal of Topology and Analysis 8.03 (2016): 375-397. https://doi.org/10.1142/S1793525316500199
- ^ "The nearby Lagrangian conjecture | Math".
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